Numerical Study of Instability of Fluid Black Holes

Abstract

Recently neutral and charged black-hole solutions were found for static perfect fluid with the equation of state $p(r)=-\rho (r)/3$, for fluid only as well as for fluid in the presence of electric field. In those works, the stability of the black holes were studied in an analytic manner, which concluded that the black holes are unconditionally unstable. In this work, we focus particularly on the {\it numerical} study of the instability. For the black-hole solutions as well as the static solutions without horizons, we solve the perturbation equations numerically and find the unstable mode functions.

References in corpus (8)

• All static spherically symmetric perfect fluid solutions of Einstein's Equations
• Simple Black Holes with Anisotropic Fluid
• Rotating black holes with an anisotropic matter field
• All "static" spherically symmetric perfect fluid solutions of Einstein's equations with constant equation of state parameter and finite-polynomial "mass function"
• Black holes can have curly hair
• Entropy of gravitating systems: scaling laws versus radial profiles
• Static-Fluid Black Holes
• Black hole in closed spacetime with an anisotropic fluid